1{
2 "cells": [
3  {
4   "cell_type": "markdown",
5   "metadata": {},
6   "source": [
7    "Test the optimization of `product()` for weak arguments."
8   ]
9  },
10  {
11   "cell_type": "code",
12   "execution_count": 1,
13   "metadata": {},
14   "outputs": [],
15   "source": [
16    "import spot\n",
17    "spot.setup()\n",
18    "from spot.jupyter import display_inline"
19   ]
20  },
21  {
22   "cell_type": "code",
23   "execution_count": 2,
24   "metadata": {},
25   "outputs": [],
26   "source": [
27    "auts = list(spot.automata(\"\"\"\n",
28    "HOA: v1\n",
29    "name: \"a\"\n",
30    "States: 2\n",
31    "Start: 1\n",
32    "AP: 1 \"a\"\n",
33    "acc-name: all\n",
34    "Acceptance: 0 t\n",
35    "properties: trans-labels explicit-labels state-acc deterministic\n",
36    "properties: stutter-invariant terminal\n",
37    "--BODY--\n",
38    "State: 0\n",
39    "[t] 0\n",
40    "State: 1\n",
41    "[0] 0\n",
42    "--END--\n",
43    "HOA: v1\n",
44    "name: \"Fb\"\n",
45    "States: 2\n",
46    "Start: 1\n",
47    "AP: 1 \"b\"\n",
48    "acc-name: Buchi\n",
49    "Acceptance: 1 Inf(0)\n",
50    "properties: trans-labels explicit-labels state-acc complete\n",
51    "properties: deterministic stutter-invariant terminal\n",
52    "--BODY--\n",
53    "State: 0 {0}\n",
54    "[t] 0\n",
55    "State: 1\n",
56    "[0] 0\n",
57    "[!0] 1\n",
58    "--END--\n",
59    "HOA: v1\n",
60    "name: \"Fb\"\n",
61    "States: 2\n",
62    "Start: 1\n",
63    "AP: 1 \"b\"\n",
64    "acc-name: co-Buchi\n",
65    "Acceptance: 1 Fin(0)\n",
66    "properties: trans-labels explicit-labels state-acc complete\n",
67    "properties: deterministic stutter-invariant terminal\n",
68    "--BODY--\n",
69    "State: 0 \n",
70    "[t] 0\n",
71    "State: 1 {0}\n",
72    "[0] 0\n",
73    "[!0] 1\n",
74    "--END--\n",
75    "HOA: v1\n",
76    "name: \"GFc\"\n",
77    "States: 1\n",
78    "Start: 0\n",
79    "AP: 1 \"c\"\n",
80    "acc-name: Buchi\n",
81    "Acceptance: 1 Inf(0)\n",
82    "properties: trans-labels explicit-labels trans-acc complete\n",
83    "properties: deterministic stutter-invariant\n",
84    "--BODY--\n",
85    "State: 0\n",
86    "[!0] 0\n",
87    "[0] 0 {0}\n",
88    "--END--\n",
89    "HOA: v1\n",
90    "States: 1\n",
91    "Start: 0\n",
92    "AP: 1 \"d\"\n",
93    "Acceptance: 1 Inf(0)&Fin(0)\n",
94    "--BODY--\n",
95    "State: 0\n",
96    "[!0] 0 {0}\n",
97    "[0] 0\n",
98    "--END--\n",
99    "HOA: v1\n",
100    "States: 1\n",
101    "Start: 0\n",
102    "AP: 1 \"d\"\n",
103    "Acceptance: 1 Inf(0)|Fin(0)\n",
104    "--BODY--\n",
105    "State: 0 \n",
106    "[!0] 0 {0}\n",
107    "[0] 0\n",
108    "--END--\n",
109    "\"\"\"))"
110   ]
111  },
112  {
113   "cell_type": "code",
114   "execution_count": 3,
115   "metadata": {},
116   "outputs": [
117    {
118     "data": {
119      "text/plain": [
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122     },
123     "execution_count": 3,
124     "metadata": {},
125     "output_type": "execute_result"
126    }
127   ],
128   "source": [
129    "len(auts)"
130   ]
131  },
132  {
133   "cell_type": "code",
134   "execution_count": 4,
135   "metadata": {
136    "scrolled": false
137   },
138   "outputs": [
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1584   "source": [
1585    "autslen = len(auts)\n",
1586    "# In a previous version we used to iterate over all possible left automata with \"for left in auts:\"\n",
1587    "# however we had trouble with Jupyter on i386, where running the full loop abort with some low-level \n",
1588    "# exeptions from Jupyter client.   Halving the loop helped for some times, but then the timeout\n",
1589    "# came back.   So we do one left automaton at at time.\n",
1590    "left = auts[0]\n",
1591    "display(left)\n",
1592    "for right in auts:\n",
1593    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
1594   ]
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2928   ],
2929   "source": [
2930    "left = auts[1]\n",
2931    "display(left)\n",
2932    "for right in auts:\n",
2933    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
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4269   ],
4270   "source": [
4271    "left = auts[2]\n",
4272    "display(left)\n",
4273    "for right in auts:\n",
4274    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
4275   ]
4276  },
4277  {
4278   "cell_type": "code",
4279   "execution_count": 7,
4280   "metadata": {
4281    "scrolled": false
4282   },
4283   "outputs": [
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5548   ],
5549   "source": [
5550    "left = auts[3]\n",
5551    "display(left)\n",
5552    "for right in auts:\n",
5553    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
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5556  {
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5562   "outputs": [
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6812    "display(left)\n",
6813    "for right in auts:\n",
6814    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
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8069   ],
8070   "source": [
8071    "left = auts[5]\n",
8072    "display(left)\n",
8073    "for right in auts:\n",
8074    "    display_inline(right, spot.product(left, right), spot.product_or(left, right))"
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8077  {
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8079   "execution_count": 10,
8080   "metadata": {
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8082   },
8083   "outputs": [
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9672       "</g>\n",
9673       "<!-- I&#45;&gt;0 -->\n",
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9675       "<title>I&#45;&gt;0</title>\n",
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9678       "</g>\n",
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9685       "<!-- 0&#45;&gt;1 -->\n",
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9687       "<title>0&#45;&gt;1</title>\n",
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9707       "<!-- 0&#45;&gt;2 -->\n",
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9714       "</g>\n",
9715       "<!-- 0&#45;&gt;2 -->\n",
9716       "<g id=\"edge5\" class=\"edge\">\n",
9717       "<title>0&#45;&gt;2</title>\n",
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9725       "<title>1&#45;&gt;1</title>\n",
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9741       "<title>2&#45;&gt;2</title>\n",
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9755       "</div>"
9756      ],
9757      "text/plain": [
9758       "<IPython.core.display.HTML object>"
9759      ]
9760     },
9761     "metadata": {},
9762     "output_type": "display_data"
9763    }
9764   ],
9765   "source": [
9766    "left = auts[0]\n",
9767    "display(left)\n",
9768    "for right in auts:\n",
9769    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
9770   ]
9771  },
9772  {
9773   "cell_type": "code",
9774   "execution_count": 11,
9775   "metadata": {
9776    "scrolled": false
9777   },
9778   "outputs": [
9779    {
9780     "data": {
9781      "image/svg+xml": [
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9838      "text/plain": [
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9840      ]
9841     },
9842     "metadata": {},
9843     "output_type": "display_data"
9844    },
9845    {
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9847      "text/html": [
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11165     "metadata": {},
11166     "output_type": "display_data"
11167    }
11168   ],
11169   "source": [
11170    "left = auts[1]\n",
11171    "display(left)\n",
11172    "for right in auts:\n",
11173    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
11174   ]
11175  },
11176  {
11177   "cell_type": "code",
11178   "execution_count": 12,
11179   "metadata": {
11180    "scrolled": false
11181   },
11182   "outputs": [
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12576   ],
12577   "source": [
12578    "left = auts[2]\n",
12579    "display(left)\n",
12580    "for right in auts:\n",
12581    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
12582   ]
12583  },
12584  {
12585   "cell_type": "code",
12586   "execution_count": 13,
12587   "metadata": {
12588    "scrolled": false
12589   },
12590   "outputs": [
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13975   "source": [
13976    "left = auts[3]\n",
13977    "display(left)\n",
13978    "for right in auts:\n",
13979    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
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13982  {
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13987   },
13988   "outputs": [
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15306    }
15307   ],
15308   "source": [
15309    "left = auts[4]\n",
15310    "display(left)\n",
15311    "for right in auts:\n",
15312    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
15313   ]
15314  },
15315  {
15316   "cell_type": "code",
15317   "execution_count": 15,
15318   "metadata": {
15319    "scrolled": false
15320   },
15321   "outputs": [
15322    {
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16645    "    display_inline(right, spot.product_xor(left, right), spot.product_xnor(left, right))"
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